\documentclass[11pt]{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage[nomarginpar]{geometry}
\usepackage{color}
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage{fancyhdr}

\setcounter{MaxMatrixCols}{10}
%TCIDATA{OutputFilter=LATEX.DLL}
%TCIDATA{Version=5.00.0.2570}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{Created=Wednesday, July 12, 2006 00:27:03}
%TCIDATA{LastRevised=Sunday, September 23, 2007 15:50:32}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}
%TCIDATA{<META NAME="Title" CONTENT="graphs of equations - Solutions">}
%TCIDATA{<META NAME="DocumentShell" CONTENT="Scientific Notebook\Booklet #1 - with Instructions">}
%TCIDATA{CSTFile=40 LaTeX article.cst}
%TCIDATA{PageSetup=72,72,72,72,1}
%TCIDATA{Counters=arabic,1}
%TCIDATA{<META NAME="PrintViewPercent" CONTENT="100">}
%TCIDATA{AllPages=
%H=36
%F=36,\PARA{038<p type="texpara" tag="Body Text" >\hfill \hfill }
%}


\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}{Exercise}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{solution}[theorem]{Solution}
\newtheorem{summary}[theorem]{Summary}
\newenvironment{proof}[1][Proof]{\noindent\textbf{#1.} }{\ \rule{0.5em}{0.5em}}
\input{tcilatex}
\geometry{left=0.6in,right=0.7in,top=0.7in,bottom=0.7in}
\pagestyle{fancy}
\lhead{\color{blue}\LARGE  }
\chead{{\color{black}}{\LARGE{Graphs of Equations}}}
\rhead{\Large page   \ \thepage\\ \color{red}Answers}
\cfoot{}
\lfoot{\small   \copyright $\;$ copyright  Hidegkuti,  Powell,  2007}
\textwidth 7.0in 
\textheight 9.0in 
\setlength{\headheight}{38pt}
\setlength{\parindent}{0in}

\begin{document}


Definition: \ The graph of an equation in $x$ and $y$ is the set of all
points $P\left( x,y\right) $ \ whose coordinates are solution of the
equation.

\begin{enumerate}
\item Consider the graph shown below. ~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
y=-x^{2}+2x+8$%
%TCIMACRO{\TeXButton{black}{\color{black}} }%
%BeginExpansion
\color{black}
%EndExpansion
\FRAME{dtbpF}{3.5129in}{3.5129in}{0pt}{}{}{Plot}{\special{language
"Scientific Word";type "MAPLEPLOT";width 3.5129in;height 3.5129in;depth
0pt;display "USEDEF";plot_snapshots TRUE;mustRecompute FALSE;lastEngine
"MuPAD";xmin "-10.01";xmax "10.04";xviewmin "-10.01";xviewmax
"10.04";yviewmin "-10.4";yviewmax "10.4";viewset"XY";rangeset"X";plottype
4;plotticks 1;num-x-ticks 11;num-y-ticks 11;constrained TRUE;numpoints
100;plotstyle "patch";axesstyle "normal";xis \TEXUX{x};yis
\TEXUX{y};var1name \TEXUX{$x$};var2name \TEXUX{$y$};function
\TEXUX{$1$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-1$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$2$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-2$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$3$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-3$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$4$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-4$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$5$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-5$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$6$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-6$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$7$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-7$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$8$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-8$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$9$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-9$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$10$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-10$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$-10$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$4$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$3$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -10,-10\right) ,\left( -10,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -9,-10\right) ,\left( -9,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -8,-10\right) ,\left( -8,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -7,-10\right) ,\left( -7,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -6,-10\right) ,\left( -6,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -5,-10\right) ,\left( -5,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -4,-10\right) ,\left( -4,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -3,-10\right) ,\left( -3,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -2,-10\right) ,\left( -2,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( -1,-10\right) ,\left( -1,10\right) \right)
$};linecolor "gray";linestyle 1;pointstyle "point";linethickness
1;lineAttributes "Solid";var1range "-10.01,10.04";num-x-gridlines
100;curveColor "[flat::RGB:0x00c0c0c0]";curveStyle "Line";function
\TEXUX{$\left( \left( 1,-10\right) ,\left( 1,10\right) \right) $};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
2,-10\right) ,\left( 2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
3,-10\right) ,\left( 3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
4,-10\right) ,\left( 4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
5,-10\right) ,\left( 5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
10,-10\right) ,\left( 10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
9,-10\right) ,\left( 9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
6,-10\right) ,\left( 6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
7,-10\right) ,\left( 7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
8,-10\right) ,\left( 8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$0$};linecolor
"black";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
0,-11\right) ,\left( 0,11\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$-\left(
x-4\right) \left( x+2\right) $};linecolor "black";linestyle 1;pointstyle
"point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function
\TEXUX{$9-\sqrt{0.04-\left( x-1\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"0.8,1.2";num-x-gridlines 100;curveColor "[flat::RGB:0x000000ff]";curveStyle
"Line";rangeset"X";function \TEXUX{$9+\sqrt{0.04-\left( x-1\right)
^{2}}$};linecolor "blue";linestyle 1;pointstyle "point";linethickness
3;lineAttributes "Solid";var1range "0.8,1.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5-\sqrt{0.04-\left( x+1\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-1.2,-0.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5+\sqrt{0.04-\left( x+1\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-1.2,-0.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$-\sqrt{0.04-\left( x+2\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-2.2,-1.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$\sqrt{0.04-\left( x+2\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";valid_file "T";tempfilename
'JOU37H03.wmf';tempfile-properties "XPR";}}

Among the many points on the graph, \ $A\left( -2,0\right) $, \ $B\left(
-1,5\right) $, \ and $C\left( 1,9\right) $ \ are marked \ \ We will use
these points to find the equation that belongs with the graph. \ The
equation for this graph is one of the equations listed below.

\begin{enumerate}
\item Consider the equation $y=3x+6$.

\begin{enumerate}
\item Is the point $A\left( -2,0\right) $ \ on the graph of $y=3x+6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
0=0~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -1,5\right) $ \ \ on the graph of $y=3x+6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
5\not=3~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,9\right) $ \ on the graph of $y=3x+6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
9=9~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $y=3x+6$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\end{enumerate}

\item Consider the equation \ $\left( x-4\right) ^{2}+\left( y-5\right)
^{2}=25$

\begin{enumerate}
\item Is the point $A\left( -2,0\right) $ \ on the graph of $\left(
x-4\right) ^{2}+\left( y-5\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
36\not=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -1,5\right) $ \ \ on the graph of $\left(
x-4\right) ^{2}+\left( y-5\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,9\right) $ \ on the graph of $\left(
x-4\right) ^{2}+\left( y-5\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of

$\left( x-4\right) ^{2}+\left( y-5\right) ^{2}=25$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\end{enumerate}

\item Consider the equation \ $y=-x^{2}+2x+8$.

\begin{enumerate}
\item Is the point $A\left( -2,0\right) $ \ on the graph of $y=-x^{2}+2x+8$%
?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
0=0~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -1,5\right) $ \ \ on the graph of $y=-x^{2}+2x+8$%
?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
5=5~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,9\right) $ \ on the graph of $y=-x^{2}+2x+8$%
?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
9=9~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $y=-x^{2}+2x+8$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\end{enumerate}
\end{enumerate}

\item Consider the graph shown on the picture below. ~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
\left( x+3\right) ^{2}+\left( y-1\right) ^{2}=25$%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

Note that the points $A\left( -8,1\right) $, \ $B\left( -6,5\right) $, \ \
and \ $C\left( 1,4\right) $ \ are on the graph.\FRAME{dtbpF}{3.5129in}{%
3.5129in}{0pt}{}{}{Plot}{\special{language "Scientific Word";type
"MAPLEPLOT";width 3.5129in;height 3.5129in;depth 0pt;display
"USEDEF";plot_snapshots TRUE;mustRecompute FALSE;lastEngine "MuPAD";xmin
"-10.01";xmax "10.04";xviewmin "-10.01";xviewmax "10.04";yviewmin
"-10.4";yviewmax "10.4";viewset"XY";rangeset"X";plottype 4;plotticks
1;num-x-ticks 11;num-y-ticks 11;constrained TRUE;numpoints 100;plotstyle
"patch";axesstyle "normal";xis \TEXUX{x};yis \TEXUX{y};var1name
\TEXUX{$x$};var2name \TEXUX{$y$};function \TEXUX{$1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-10,-10\right) ,\left( -10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-9,-10\right) ,\left( -9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-8,-10\right) ,\left( -8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-7,-10\right) ,\left( -7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-6,-10\right) ,\left( -6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-5,-10\right) ,\left( -5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-4,-10\right) ,\left( -4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-3,-10\right) ,\left( -3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-2,-10\right) ,\left( -2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-1,-10\right) ,\left( -1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
1,-10\right) ,\left( 1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
2,-10\right) ,\left( 2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
3,-10\right) ,\left( 3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
4,-10\right) ,\left( 4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
5,-10\right) ,\left( 5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
10,-10\right) ,\left( 10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
9,-10\right) ,\left( 9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
6,-10\right) ,\left( 6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
7,-10\right) ,\left( 7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
8,-10\right) ,\left( 8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$0$};linecolor
"black";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
0,-11\right) ,\left( 0,11\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$-\sqrt{25-\left(
x+3\right) ^{2}}+1$};linecolor "black";linestyle 1;pointstyle
"point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\sqrt{25-\left(
x+3\right) ^{2}}+1$};linecolor "black";linestyle 1;pointstyle
"point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function
\TEXUX{$1-\sqrt{0.04-\left( x+8\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-8.2,-7.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$1+\sqrt{0.04-\left( x+8\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-8.2,-7.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5-\sqrt{0.04-\left( x+6\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-6.2,-5.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5+\sqrt{0.04-\left( x+6\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";function
\TEXUX{$4-\sqrt{0.04-\left( x-1\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"0.8,1.2";num-x-gridlines 100;curveColor "[flat::RGB:0x000000ff]";curveStyle
"Line";rangeset"X";function \TEXUX{$4+\sqrt{0.04-\left( x-1\right)
^{2}}$};linecolor "blue";linestyle 1;pointstyle "point";linethickness
3;lineAttributes "Solid";var1range "0.8,1.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";valid_file
"T";tempfilename 'JOU3FG05.wmf';tempfile-properties "XPR";}}

\begin{enumerate}
\item Consider the equation \ $3y=x+11$.

\begin{enumerate}
\item Is the point $A\left( -8,1\right) $ \ on the graph of $3y=x+11$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
3=3~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -6,5\right) $ \ \ on the graph of $3y=x+11$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
15\not=5~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,4\right) $ \ on the graph of $3y=x+11$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
12=12~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $3y=x+11$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation \ $3y+x^{2}=-8x+3$.

\begin{enumerate}
\item Is the point $A\left( -8,1\right) $ \ on the graph of $3y+x^{2}=-8x+3$%
?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
67=67~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -6,5\right) $ \ \ on the graph of $3y+x^{2}=-8x+3
$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
51=51~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,4\right) $ \ on the graph of $3y+x^{2}=-8x+3$%
?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
13\not=-5~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of

$3y+x^{2}=-8x+3$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation \ $\left( x+3\right) ^{2}+\left( y-1\right)
^{2}=25$.

\begin{enumerate}
\item Is the point $A\left( -8,1\right) $ \ on the graph of $\left(
x+3\right) ^{2}+\left( y-1\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( -6,5\right) $ \ \ on the graph of $\left(
x+3\right) ^{2}+\left( y-1\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 1,4\right) $ \ on the graph of $\left(
x+3\right) ^{2}+\left( y-1\right) ^{2}=25$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of

$\left( x+3\right) ^{2}+\left( y-1\right) ^{2}=25$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\pagebreak 
\end{enumerate}
\end{enumerate}

\item Consider the graph shown below. ~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6-y=\left\vert 8-\left\vert 2x\right\vert \right\vert $%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

Note that the points \ $A\left( -3,4\right) $, \ $B\left( 0,-2\right) $, \
and \ $C\left( 7,0\right) $ \ are on the graph.\FRAME{dtbpF}{3.5129in}{%
3.5129in}{0pt}{}{}{Plot}{\special{language "Scientific Word";type
"MAPLEPLOT";width 3.5129in;height 3.5129in;depth 0pt;display
"USEDEF";plot_snapshots TRUE;mustRecompute FALSE;lastEngine "MuPAD";xmin
"-10.01";xmax "10.04";xviewmin "-10.01";xviewmax "10.04";yviewmin
"-10.4";yviewmax "10.4";viewset"XY";rangeset"X";plottype 4;plotticks
1;num-x-ticks 11;num-y-ticks 11;constrained TRUE;numpoints 100;plotstyle
"patch";axesstyle "normal";xis \TEXUX{x};yis \TEXUX{y};var1name
\TEXUX{$x$};var2name \TEXUX{$y$};function \TEXUX{$1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-10,-10\right) ,\left( -10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-9,-10\right) ,\left( -9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-8,-10\right) ,\left( -8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-7,-10\right) ,\left( -7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-6,-10\right) ,\left( -6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-5,-10\right) ,\left( -5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-4,-10\right) ,\left( -4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-3,-10\right) ,\left( -3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-2,-10\right) ,\left( -2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-1,-10\right) ,\left( -1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
1,-10\right) ,\left( 1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
2,-10\right) ,\left( 2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
3,-10\right) ,\left( 3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
4,-10\right) ,\left( 4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
5,-10\right) ,\left( 5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
10,-10\right) ,\left( 10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
9,-10\right) ,\left( 9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
6,-10\right) ,\left( 6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
7,-10\right) ,\left( 7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
8,-10\right) ,\left( 8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$0$};linecolor
"black";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
0,-11\right) ,\left( 0,11\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$6-\left\vert
8-\left\vert 2x\right\vert \right\vert $};linecolor "black";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function
\TEXUX{$-\sqrt{0.04-x^{2}}-2$};linecolor "blue";linestyle 1;pointstyle
"point";linethickness 3;lineAttributes "Solid";var1range
"-0.2,0.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$\sqrt{0.04-x^{2}}-2$};linecolor "blue";linestyle 1;pointstyle
"point";linethickness 3;lineAttributes "Solid";var1range
"-0.2,0.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$4-\sqrt{0.04-\left( x+3\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-3.2,-2.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$4+\sqrt{0.04-\left( x+3\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-3.2,-2.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$-\sqrt{0.04-\left( x-7\right) ^{2}}$};linecolor "blue";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"6.8,7.2";num-x-gridlines 100;curveColor "[flat::RGB:0x000000ff]";curveStyle
"Line";rangeset"X";function \TEXUX{$\sqrt{0.04-\left( x-7\right)
^{2}}$};linecolor "blue";linestyle 1;pointstyle "point";linethickness
3;lineAttributes "Solid";var1range "6.8,7.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";valid_file
"T";tempfilename 'JOU6OE02.wmf';tempfile-properties "XPR";}}

\begin{enumerate}
\item Consider the equation \ $y+2=\left\vert 2x\right\vert $.

\begin{enumerate}
\item Is the point $A\left( -3,4\right) $ \ on the graph of $y+2=\left\vert
2x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 0,-2\right) $ \ \ on the graph of $%
y+2=\left\vert 2x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
2=2~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 7,0\right) $ \ on the graph of $y+2=\left\vert
2x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
2\not=14~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $y+2=\left\vert 2x\right\vert $?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation $\ 6-y=\left\vert 8-\left\vert 2x\right\vert
\right\vert $.

\begin{enumerate}
\item Is the point $A\left( -3,4\right) $ \ on the graph of $6-y=\left\vert
8-\left\vert 2x\right\vert \right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
2=2~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 0,-2\right) $ \ \ on the graph of $%
6-y=\left\vert 8-\left\vert 2x\right\vert \right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
8=8~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 7,0\right) $ \ on the graph of $6-y=\left\vert
8-\left\vert 2x\right\vert \right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $6-y=\left\vert 8-\left\vert 2x\right\vert \right\vert $?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation \ $x^{2}+y^{2}=1+4\left( x+y+5\right) $.

\begin{enumerate}
\item Is the point $A\left( -3,4\right) $ \ on the graph of $%
x^{2}+y^{2}=1+4\left( x+y+5\right) $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
25=25~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 0,-2\right) $ \ \ on the graph of $%
x^{2}+y^{2}=1+4\left( x+y+5\right) $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
4\not=13~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 7,0\right) $ \ on the graph of $%
x^{2}+y^{2}=1+4\left( x+y+5\right) $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
49=49~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of

$x^{2}+y^{2}=1+4\left( x+y+5\right) $?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\pagebreak 
\end{enumerate}
\end{enumerate}

\item Consider the graph shown on the picture below. ~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
\left\vert x\right\vert +\left\vert y\right\vert =6$%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

Note that the points $A\left( -3,3\right) $, \ $B\left( 1,5\right) $, \ \
and \ $C\left( 4,-2\right) $ \ are on the graph.\FRAME{dtbpF}{3.5129in}{%
3.5129in}{0pt}{}{}{Plot}{\special{language "Scientific Word";type
"MAPLEPLOT";width 3.5129in;height 3.5129in;depth 0pt;display
"USEDEF";plot_snapshots TRUE;mustRecompute FALSE;lastEngine "MuPAD";xmin
"-10.01";xmax "10.04";xviewmin "-10.01";xviewmax "10.04";yviewmin
"-10.4";yviewmax "10.4";viewset"XY";rangeset"X";plottype 4;plotticks
1;num-x-ticks 11;num-y-ticks 11;constrained TRUE;numpoints 100;plotstyle
"patch";axesstyle "normal";xis \TEXUX{x};yis \TEXUX{y};var1name
\TEXUX{$x$};var2name \TEXUX{$y$};function \TEXUX{$1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-1$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-2$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-5$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-6$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-7$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-8$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-9$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$-10$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$4$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$3$};linecolor
"gray";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-10,-10\right) ,\left( -10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-9,-10\right) ,\left( -9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-8,-10\right) ,\left( -8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-7,-10\right) ,\left( -7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-6,-10\right) ,\left( -6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-5,-10\right) ,\left( -5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-4,-10\right) ,\left( -4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-3,-10\right) ,\left( -3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-2,-10\right) ,\left( -2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
-1,-10\right) ,\left( -1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
1,-10\right) ,\left( 1,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
2,-10\right) ,\left( 2,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
3,-10\right) ,\left( 3,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
4,-10\right) ,\left( 4,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
5,-10\right) ,\left( 5,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
10,-10\right) ,\left( 10,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
9,-10\right) ,\left( 9,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
6,-10\right) ,\left( 6,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
7,-10\right) ,\left( 7,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$\left( \left(
8,-10\right) ,\left( 8,10\right) \right) $};linecolor "gray";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0x00c0c0c0]";curveStyle "Line";function \TEXUX{$0$};linecolor
"black";linestyle 1;pointstyle "point";linethickness 1;lineAttributes
"Solid";var1range "-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
0,-11\right) ,\left( 0,11\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 1;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
-6,0\right) ,\left( 0,6\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
-6,0\right) ,\left( 0,-6\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
6,0\right) ,\left( 0,-6\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function \TEXUX{$\left( \left(
6,0\right) ,\left( 0,6\right) \right) $};linecolor "black";linestyle
1;pointstyle "point";linethickness 3;lineAttributes "Solid";var1range
"-10.01,10.04";num-x-gridlines 100;curveColor
"[flat::RGB:0000000000]";curveStyle "Line";function
\TEXUX{$3+\sqrt{0.04-\left( x+3\right) ^{2}}\allowbreak $};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "-3.2,-2.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$3-\sqrt{0.04-\left( x+3\right) ^{2}}\allowbreak $};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "-3.2,-2.8";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5-\sqrt{0.04-\left( x-1\right) ^{2}}\allowbreak $};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "0.8,1.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$5+\sqrt{0.04-\left( x-1\right) ^{2}}\allowbreak $};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "0.8,1.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$-\sqrt{0.04-\left( x-4\right) ^{2}}-\allowbreak 2$};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "3.8,4.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";function
\TEXUX{$\sqrt{0.04-\left( x-4\right) ^{2}}-\allowbreak 2$};linecolor
"blue";linestyle 1;pointstyle "point";linethickness 3;lineAttributes
"Solid";var1range "3.8,4.2";num-x-gridlines 100;curveColor
"[flat::RGB:0x000000ff]";curveStyle "Line";rangeset"X";valid_file
"T";tempfilename 'JOU7K803.wmf';tempfile-properties "XPR";}}

\begin{enumerate}
\item Consider the equation \ $2y=x+9$.

\begin{enumerate}
\item Is the point $A\left( -3,3\right) $ \ on the graph of $2y=x+9$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 1,5\right) $ \ \ on the graph of $2y=x+9$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
10=10~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 4,-2\right) $ \ on the graph of $2y=x+9$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
-4\not=13~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $2y=x+9$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation \ $\left\vert x\right\vert +\left\vert
y\right\vert =6$.

\begin{enumerate}
\item Is the point $A\left( -3,3\right) $ \ on the graph of $\left\vert
x\right\vert +\left\vert y\right\vert =6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 1,5\right) $ \ \ on the graph of $\left\vert
x\right\vert +\left\vert y\right\vert =6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 4,-2\right) $ \ on the graph of $\left\vert
x\right\vert +\left\vert y\right\vert =6$?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $\left\vert x\right\vert +\left\vert y\right\vert =6$?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\bigskip 
\end{enumerate}

\item Consider the equation $\ y+3=9-\left\vert x\right\vert $.

\begin{enumerate}
\item Is the point $A\left( -3,3\right) $ \ on the graph of $%
y+3=9-\left\vert x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
6=6~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $B\left( 1,5\right) $ \ \ on the graph of $%
y+3=9-\left\vert x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
8=8~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
yes%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is the point $C\left( 4,-2\right) $ \ on the graph of $%
y+3=9-\left\vert x\right\vert $?~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
1\not=5~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion

\item Is it possible that the graph shown on the picture above is the graph
of $y+3=9-\left\vert x\right\vert $?$~~~$%
%TCIMACRO{\TeXButton{red}{\color{red}}}%
%BeginExpansion
\color{red}%
%EndExpansion
no%
%TCIMACRO{\TeXButton{black}{\color{black}}}%
%BeginExpansion
\color{black}%
%EndExpansion
\end{enumerate}
\end{enumerate}
\end{enumerate}

\end{document}